10350643968 has 540 divisors, whose sum is σ = 36709806672. Its totient is φ = 2891427840.

The previous prime is 10350643879. The next prime is 10350643973. The reversal of 10350643968 is 86934605301.

10350643968 is a `hidden beast` number, since 10 + 3 + 506 + 43 + 96 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 61979821 + ... + 61979987.

Almost surely, 2^10350643968 is an apocalyptic number.

10350643968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10350643968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18354903336).

10350643968 is an abundant number, since it is smaller than the sum of its proper divisors (26359162704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10350643968 is an equidigital number, since it uses as much as digits as its factorization.

10350643968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 10350643968 in words is "ten billion, three hundred fifty million, six hundred forty-three thousand, nine hundred sixty-eight".